Registration & Modeling of Shapes with Uncertainties

Registration & Modeling of Shapes with Uncertainties: Contributions and Applications to Knowledge Based Segmentation. PhD Thesis Defense, Presented on November the 15 th of 2007 by Maxime TARON Thesis advisors : Nikos Paragios Marie-Pierre Jolly

Medical Imaging : the Modern Challenges ,[object Object],[object Object],[object Object],Introduction Ultrasound Imaging Positron emission tomography Computer Tomography Magnetic Resonance Imaging

Medical Imaging : the Modern Challenges ,[object Object],[object Object],[object Object],Introduction

Context and Motivations (1) ,[object Object],[object Object],[object Object],[object Object],[object Object],Anatomical Landmarks Manual Segmentations Introduction

Context and Motivation (2) ,[object Object],[object Object],[object Object],[object Object],[object Object],Introduction Animation

Overview ,[object Object],[object Object],[object Object],Introduction

Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Introduction

1 st part: Shape Registration & Uncertainty Estimation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 1

Shape Registration ,[object Object],[object Object],[object Object],[object Object],Global Local Part 1 – Shape Registration

Registration Criterion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 1 – Shape Registration

Deformable template and distance map deformations ,[object Object],[object Object],[object Object],[object Object],Part 1 – Shape Registration

Types of Transformations : Global Transform ,[object Object],[object Object],Part 1 – Shape Registration Affine Identity Rigid + scale

Local Transform : Properties of Free Form Deformation and Thin Plate Splines ,[object Object],[object Object],[object Object],[object Object],[object Object],Part 1 – Shape Registration

Deformable template and distance map deformations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 1 – Shape Registration

Registration : a review ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 1 – Uncertainty Estimation

Related Work on Uncertainty: ,[object Object],[object Object],[object Object],[object Object],Part 1 – Uncertainty Estimation

Introducing Uncertainty: Hessian Based. ,[object Object],[object Object],[object Object],Part 1 – Uncertainty Estimation

Introducing Uncertainty: Hessian Based (2) ,[object Object],[object Object],[object Object],Part 1 – Uncertainty Estimation

An different approach : Data Based Uncertainty ,[object Object],[object Object],[object Object],Part 1 – Uncertainty Estimation

Comparison between Hessian and Data driven ,[object Object],[object Object],[object Object],[object Object],[object Object],Part 1 – Uncertainty Estimation

Uncertainty Visualization: ,[object Object],Part 1 – Uncertainty Estimation

2 nd part: Modeling Shape Variations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 2

Problem statement and Reference Shape ,[object Object],[object Object],Part 2 – Reference model

Problem statement and Reference Shape ,[object Object],[object Object],[object Object],Part 2 – Reference model

Problem statement and Reference Shape ,[object Object],[object Object],[object Object],[object Object],Part 2 – Reference model

Statistical Modeling of Shapes: a review ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 2 – Introduction

Linear Model ,[object Object],[object Object],[object Object],[object Object],Part 2 – Linear Model ICA 1 st modes using PCA 1 st modes using ICA Animation Animation

Introducing ICA ,[object Object],[object Object],Part 2 – Linear Model ICA Distribution in the parameter space Distribution in the ICA space s1 s2

Generate new samples ,[object Object],[object Object],Part 2 – Linear Model ICA

Building Statistical model using ICA ,[object Object],[object Object],[object Object],Part 2 – Linear Model ICA Projection of the Data on Independent Components

Towards non-parametric modeling, ,[object Object],[object Object],[object Object],Part 2 – non-linear Model

Non-parametric Density approximation with kernels ,[object Object],[object Object],[object Object],[object Object],Part 2 – non-linear Model

Non-parametric Density approximation with variable bandwidth kernels. ,[object Object],[object Object],Part 2 – non-linear Model

Dimensionality Reduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 2 – non-linear Model

3 rd part: Knowledge-Based Segmentation ,[object Object],[object Object],Part 3

Segmentation with Model Fitting. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Part 3 - Introduction

Cardiac Left Ventricle Segmentation : Region Based Image Term ,[object Object],[object Object],[object Object],Blood Pool LV Lung RV Setting Set of Points on Interfaces between regions Setting Set of Points on Interfaces between regions Part 3 – Left Ventricle Segmentation Animation

Knowledge-based Segmentation. ,[object Object],[object Object],Part 3 – Left Ventricle Segmentation Animation

Qualitative Results Part 3 – Left Ventricle Segmentation Animation

Qualitative Results Part 3 – Left Ventricle Segmentation

Estimate of Segmentation Uncertainty ,[object Object],[object Object],[object Object],[object Object],Part 3 – Left Ventricle Segmentation

Segmentation of the Corpus callosum: Region based image term. ,[object Object],[object Object],Part 3 – Corpus Callosum Segmentation

Knowledge based segmentation, introducing shape uncertainty. ,[object Object],[object Object],[object Object]

Variable Bandwidth Kernel Densities: Hybrid estimator ,[object Object],[object Object],[object Object],[object Object],Part 3 – Corpus Callosum Segmentation

Part 3 – Corpus Callosum Segmentation Animation

General Conclusion ,[object Object],[object Object],Conclusion

Contributions. ,[object Object],[object Object],[object Object],[object Object],[object Object],Conclusion Prior shape Model + Posterior Registration Modeling Segmentation Uncertainty Uncertainty

Future Directions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Conclusion

Related Publications ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Conclusion

Thank you for your attention Animation

An application of the 3D Free Form Deformation : 3d morphing: ,[object Object],[object Object],[object Object],[object Object],Appendix Animation Animation

3D Shape Registration on Full Body Meshes ,[object Object],Videos Appendix Animation

Application to digits Recognition (1) ,[object Object],[object Object],Appendix

Application to digits Recognition (2) Appendix

Registration & Modeling of Shapes with Uncertainties

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